Long-time Anderson Localization for the Nonlinear Schrodinger Equation Revisited
Dynamical Systems
2021-02-03 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
In this paper, we confirm the conjecture of Wang and Zhang (J. Stat. Phys. 134 (5-6): 953--968, 2009) in a long time scale, i.e., the displacement of the wavefront for nonlinear random Schroedinger equation is of logarithmic order in time .
Keywords
Cite
@article{arxiv.2006.04332,
title = {Long-time Anderson Localization for the Nonlinear Schrodinger Equation Revisited},
author = {Hongzi Cong and Yunfeng Shi and Zhifei Zhang},
journal= {arXiv preprint arXiv:2006.04332},
year = {2021}
}
Comments
A revised version, to appear in J. Stat. Phys